Hello P-G,
Having had a closer look, I'm beginning to think that there are two John Everitt, Pte 14024 in the Lincolnshire Regiment.
The one in the Ancestry Pension records, John William Everitt was born 1890 (?) in Stockingford, Warwickshire.
It looks like he was originally in the Leicesters, Pte 13677
Transferred to 3rd (Reserve) Bn Lincolns and posted to Grimsby.
I don't think he ever served overseas and a stamp on the Hospital Admissions sheet appears to be Cork, which would be consistent with the 3rd Bn moving there in 1918.
The second one, John W Everitt, whose medal index card I found, entered France on 4th May 1915. Unfortunately I can't match this with any of the Division embarkation dates, so I can't even guess which battalion he was in. It's a shame that his service record does not appear to have survived, because the information on his MIC is tantalisingly interesting.
Phil